Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Gastón García-Calderón"'
Publikováno v:
Quantum Studies: Mathematics and Foundations. 8:179-190
We consider exact expansions of the decaying wave solution to the Schrodinger equation in terms of continuum energy solutions (Hermitian) and resonant states involving transient functions (non-Hermitian) discussed in Ref. (G. Garcia-Calderon et al. P
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b99628fc7fdb8be9c79409cfbcbaa049
https://doi.org/10.1007/s40509-020-00237-3
https://doi.org/10.1007/s40509-020-00237-3
Autor:
Gastón García-Calderón, Roberto Romo
Publikováno v:
Europhysics Letters. 139:60001
By using an exact analytical formalism for quantum tunneling decay we show the existence of a regime of purely nonexponential decay for the survival probability in the full time interval and a propagating probability density along the external intera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::607e69cf7b12268b4d210e024532a328
https://doi.org/10.1209/0295-5075/ac8e2a
https://doi.org/10.1209/0295-5075/ac8e2a
Autor:
Gastón García-Calderón, Roberto Romo
By using an analytical exact non-Hermitian formalism for quantum tunneling decay that involves the expansion of the decaying wave function as a linear combination of resonant states and transient functions associated with the complex poles of the out
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46be597420433c5059d2cdd76653dfce
http://arxiv.org/abs/1912.07069
http://arxiv.org/abs/1912.07069
Autor:
Gastón García-Calderón, Roberto Romo
Publikováno v:
Physical Review A. 100
By using an exact analytical non-Hermitian approach in terms of resonance (quasinormal) states we express the decaying wave function as the sum of exponential and nonexponential decaying solutions to the time-dependent Schrodinger equation. We show t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a48163f0d425195fbcd6467506516657
https://doi.org/10.1103/physreva.100.032121
https://doi.org/10.1103/physreva.100.032121
Resonance (quasinormal) states correspond to non-Hermitian solutions to the Schr\"odinger equation obeying outgoing boundary conditions which lead to complex energy eigenvalues and momenta. Following the normalization rule for resonance states obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf23188aa2fb757fad12eb2510b01f22
http://arxiv.org/abs/1812.09319
http://arxiv.org/abs/1812.09319
Autor:
Gastón García-Calderón, Roberto Romo
Publikováno v:
Physical Review A. 96
We study the nonescape probability for tunneling decay of two identical noninteracting particles which are entangled due to symmetrization. As a consequence, the two-particle nonescape probability, which gives the probability that the particles remai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2d356c454cb2cddd59a6dc7138826c1a
https://doi.org/10.1103/physreva.96.062124
https://doi.org/10.1103/physreva.96.062124
Publikováno v:
Journal of Physics: Conference Series. 1275:012029
An exact analytical solution of the decaying wave function of two identical noninteracting particles, which are entangled by spatial symmetry, is used to analyze the effect of the resonance spectra in the propagation of the decaying probability densi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97fde3ff4da8be70fa5f9c327894b9e5
https://doi.org/10.1088/1742-6596/1275/1/012029
https://doi.org/10.1088/1742-6596/1275/1/012029
Autor:
Gastón García-Calderón
An analytical solution to the time evolution of decay of one and two identical noninteracting particles is presented using the formalism of resonant states. It is shown that the time-dependent wave function and hence the survival and nonescape probab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4bf569bae4360357cba26b41154263a
Publikováno v:
Physical Review A. 94
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7dc8490d8165ded05d3784ff07243eed
https://doi.org/10.1103/physreva.94.022103
https://doi.org/10.1103/physreva.94.022103
Autor:
Sergio Cordero, Gastón García-Calderón
Publikováno v:
Physical Review A. 90
Multibarrier-tunneling invisible systems may be formed by a finite chain of building blocks that are tunneling invisible. Here we study these systems as a function of the energy and of the distance among building blocks. We find that the transmission
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e44a7b0af392d77606d264538b9131dc
https://doi.org/10.1103/physreva.90.062101
https://doi.org/10.1103/physreva.90.062101